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Finding the Fourth Proportional to 30,432.96, 45,647.85 and 10,711.65

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Solution

The fourth proportional to 30,432.96, 45,647.85 and 10,711.65 is: 16,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432.96 : 45,647.85 = 10,711.65 : x
  2. Step 2: Convert to fraction form
    30,432.96/45,647.85 = 10,711.65/x
  3. Step 3: Cross multiply
    30,432.96x = 45,647.85 × 10,711.65
  4. Step 4: Simplify right side
    30,432.96x = 488,963,792.45
  5. Step 5: Solve for x
    x = 488,963,792.45/30,432.96
  6. Step 6: Final answer
    x = 16,066.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.